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74999240 = 23517532081
BaseRepresentation
bin1000111100001…
…10010111001000
312020010100121122
410132012113020
5123144433430
611235254412
71600324451
oct436062710
9166110548
1074999240
1139376048
122114a408
13126cc164
149d64128
1568b6ee5
hex47865c8

74999240 has 64 divisors (see below), whose sum is σ = 182133360. Its totient is φ = 27688960.

The previous prime is 74999237. The next prime is 74999273. The reversal of 74999240 is 4299947.

It can be written as a sum of positive squares in 8 ways, for example, as 47141956 + 27857284 = 6866^2 + 5278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 74999191 and 74999200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35000 + ... + 37080.

Almost surely, 274999240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74999240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91066680).

74999240 is an abundant number, since it is smaller than the sum of its proper divisors (107134120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74999240 is a wasteful number, since it uses less digits than its factorization.

74999240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 74999240 is about 8660.2101591128. The cubic root of 74999240 is about 421.7149081820.

The spelling of 74999240 in words is "seventy-four million, nine hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1802 2081 2120 3604 4162 4505 7208 8324 9010 10405 16648 18020 20810 35377 36040 41620 70754 83240 110293 141508 176885 220586 283016 353770 441172 551465 707540 882344 1102930 1415080 1874981 2205860 3749962 4411720 7499924 9374905 14999848 18749810 37499620 74999240